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Finding the Fourth Proportional to 317.38, 436.87 and 277.94

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Solution

The fourth proportional to 317.38, 436.87 and 277.94 is: 382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.38 : 436.87 = 277.94 : x
  2. Step 2: Convert to fraction form
    317.38/436.87 = 277.94/x
  3. Step 3: Cross multiply
    317.38x = 436.87 × 277.94
  4. Step 4: Simplify right side
    317.38x = 121,424.05
  5. Step 5: Solve for x
    x = 121,424.05/317.38
  6. Step 6: Final answer
    x = 382.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.